Segal-type algebraic models of n–types

David Blanc; Simona Paoli

doi:10.2140/agt.2014.14.3419

Segal-type algebraic models of n–types

David Blanc, Simona Paoli

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

For each n≥1, we introduce two new Segal-type models of n–types of topological spaces: weakly globular n–fold groupoids and their lax version. We show that any n–type can be represented up to homotopy by such models via an explicit algebraic fundamental n–fold groupoid functor. We compare these models to Tamsamani’s weak n–groupoids, and extract from them a model for (k−1)–connected n–types.

Original language	English
Pages (from-to)	3419-3491
Number of pages	73
Journal	Algebraic and Geometric Topology
Volume	14
Issue number	6
DOIs	https://doi.org/10.2140/agt.2014.14.3419
State	Published - 15 Jan 2015

Bibliographical note

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Keywords

Algebraic model
N–fold groupoid
N–type
Weakly globular

ASJC Scopus subject areas

Geometry and Topology

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10.2140/agt.2014.14.3419

Cite this

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Segal-type algebraic models of n–types

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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